What is the Least Common Multiple of 94568 and 94580?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 94568 and 94580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94568 and 94580, than apply into the LCM equation.

GCF(94568,94580) = 4
LCM(94568,94580) = ( 94568 × 94580) / 4
LCM(94568,94580) = 8944241440 / 4
LCM(94568,94580) = 2236060360

Least Common Multiple (LCM) of 94568 and 94580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94568 and 94580. First we will calculate the prime factors of 94568 and 94580.

Prime Factorization of 94568

Prime Factorization of 94580

Now multiplying the highest exponent prime factors to calculate the LCM of 94568 and 94580.

LCM(94568,94580) = 2³ × 11821¹ × 5¹ × 4729¹
LCM(94568,94580) = 2236060360